657364041 has 12 divisors (see below), whose sum is σ = 1005380532. Its totient is φ = 412463616.

The previous prime is 657364039. The next prime is 657364061. The reversal of 657364041 is 140463756.

It is a happy number.

657364041 is a `hidden beast` number, since 6 + 5 + 7 + 3 + 640 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 496175625 + 161188416 = 22275^2 + 12696^2 .

It is not a de Polignac number, because 657364041 - 2¹ = 657364039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 657363987 and 657364005.

It is not an unprimeable number, because it can be changed into a prime (657364061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2148096 + ... + 2148401.

It is an arithmetic number, because the mean of its divisors is an integer number (83781711).

Almost surely, 2^657364041 is an apocalyptic number.

It is an amenable number.

657364041 is a deficient number, since it is larger than the sum of its proper divisors (348016491).

657364041 is a wasteful number, since it uses less digits than its factorization.

657364041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296520 (or 4296517 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 657364041 is about 25639.1115485697. Note that the first 3 decimals coincide. The cubic root of 657364041 is about 869.4981211580.

The spelling of 657364041 in words is "six hundred fifty-seven million, three hundred sixty-four thousand, forty-one".